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By G. Hutiray, J. Solyom

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In contrast, none of the amplitudes vanishes identically for the three remaining types. The v vortex has nine real amplitudes; the w vortex has real amplitudes for A + p even but imaginary ones for A + p odd; for the final type (the uvw vortex), all amplitudes can be complex. It is striking that even the simplest of these vortices has a relatively complicated structure involving five distinct, but coupled, amplitudes. Thus approximate schemes with fewer amplitudes or fewer independent functions (Passvogel et al.

24). Thus h bends throughout a surface layer of thickness 5, from vertical to one of the values given in eq. 24), say n, = (1 /5)1'2 and n+ = (315)'". The resulting texture in a stationary cylinder is axisymmetric, with h exhibiting a spiral pattern near the boundary. To understand the NMR in both stationary and rotating containers filled with B-phase fluid, it will be important to consider this texture in greater detail. The configuration may be parametrized with a pair of angles a and /3, through the relations ti = sin /3 ( i cos a + sin a)+ i cos p .

It is conventional to rewrite this expression in a form analogous to eq. L. FE’ITER 30 [Ch. 1, 84 velocity, but now with the dimension of a magnetic field K = - :mn,/a. 33b) As noted previously, fv and fgm are even and odd, respectively, under a reversal of the relative directions fi and d. It is now possible to consider the equilibrium ri texture in a rotating container subject to a strong axial magnetic field. 34) where the last two terms comprise the effect of the vortex lines (and thus the rotation of the container).

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